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100366744071041 = 726133578703269
BaseRepresentation
bin10110110100100001110100…
…001000001010101110000001
3111011100222002221222200000222
4112310201310020022232001
5101123402042440233131
6553243502400552425
730066154324254200
oct2664416410125601
9434328087880028
10100366744071041
1129a8632a521968
12b30b8b7622715
13440070a99a6c6
141aadac2383237
15b90b817e487b
hex5b487420ab81

100366744071041 has 12 divisors (see below), whose sum is σ = 118667137356180. Its totient is φ = 84618332235360.

The previous prime is 100366744071037. The next prime is 100366744071049. The reversal of 100366744071041 is 140170447663001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 50665710460225 + 49701033610816 = 7117985^2 + 7049896^2 .

It is not a de Polignac number, because 100366744071041 - 22 = 100366744071037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100366744070983 and 100366744071001.

It is not an unprimeable number, because it can be changed into a prime (100366744071049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16789348646 + ... + 16789354623.

It is an arithmetic number, because the mean of its divisors is an integer number (9888928113015).

Almost surely, 2100366744071041 is an apocalyptic number.

It is an amenable number.

100366744071041 is a deficient number, since it is larger than the sum of its proper divisors (18300393285139).

100366744071041 is an equidigital number, since it uses as much as digits as its factorization.

100366744071041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33578703344 (or 33578703337 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The spelling of 100366744071041 in words is "one hundred trillion, three hundred sixty-six billion, seven hundred forty-four million, seventy-one thousand, forty-one".

Divisors: 1 7 49 61 427 2989 33578703269 235050922883 1645356460181 2048300899409 14338106295863 100366744071041